Finding the Third Proportional to 12,794 and 18,456

Step by Step Solution

1. Step 1: Write the proportion equation
   12,794 : 18,456 = 18,456 : x
2. Step 2: Convert to fraction form
   12,794/18,456 = 18,456/x
3. Step 3: Cross multiply
   12,794x = 18,456 × 18,456
4. Step 4: Simplify right side
   12,794x = 340,623,936
5. Step 5: Solve for x
   x = 340,623,936/12,794
6. Step 6: Final answer
   x = 26,623.72